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Finding the Fourth Proportional to 77,255.79, 106,623.57 and 46,630.47

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Solution

The fourth proportional to 77,255.79, 106,623.57 and 46,630.47 is: 64,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,255.79 : 106,623.57 = 46,630.47 : x
  2. Step 2: Convert to fraction form
    77,255.79/106,623.57 = 46,630.47/x
  3. Step 3: Cross multiply
    77,255.79x = 106,623.57 × 46,630.47
  4. Step 4: Simplify right side
    77,255.79x = 4,971,907,157.12
  5. Step 5: Solve for x
    x = 4,971,907,157.12/77,255.79
  6. Step 6: Final answer
    x = 64,356.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.